1 citations · 1 across the 2 of their papers we have counts for
5 papers
Dimension gap and phase transition for one-dimensional random walks with reflective boundary
Maik Gröger, Johannes Jaerisch, Marc Kesseböhmer
We study - and -extensions of interval maps with at most countably many full branches modelling one-dimensional random walks without and with a reflective bou…
Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches
Johannes Jaerisch, Hiroki Takahasi
For a Markov map of an interval or the circle with countably many branches and finitely many neutral periodic points, we establish conditional variational formulas for the mixed mu…
Multifractal Formalism for generalised local dimension spectra of Gibbs measures on the real line
Johannes Jaerisch, Hiroki Sumi
We refine the multifractal formalism for the local dimension of a Gibbs measure supported on the attractor of a conformal iterated functions system on the real line. Namely…
Spectral gap property for random dynamics on the real line and multifractal analysis of generalised Takagi functions
Johannes Jaerisch, Hiroki Sumi
We consider the random iteration of finitely many expanding diffeomorphisms on the real line without a common fixed point. We derive the spectral gap property o…
Weighted cogrowth formula for free groups
Johannes Jaerisch, Katsuhiko Matsuzaki
We investigate the relationship between geometric, analytic and probabilistic indices for quotients of the Cayley graph of the free group endowed with variable edg…